Step 4: After a period of at least 6 weeks, to allow data analysis, participants who demonstrate an in vivo response to the 2nd of the paired dose of VOR will proceed to Step 4 and receive 10 doses of VOR 400 mg administered at the same interval at which cell-associated HIV-RNA induction was observed in Step 3. If greater than 60 days elapse between Visit 7 and Visit 8, participants will repeat the screening visit labs to qualify for continued participation in the study. At the completion of 10 doses, participants will then be assessed via a 4th and final leukapheresis for in vivo response to the serial dosing of VOR.